Add 27/49 and 75/30, Solve 27/49 + 2 15/30 as a fraction

Add 27/49 and 75/30

1^st number: 27/49, 2^nd number: 2 15/30

27/49 + 75/30 is 299/98.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470

Next, find the equivalent fraction of both fractional numbers with denominator 1470
For the 1st fraction, since 49 × 30 = 1470,
27/49 = 27 × 30/49 × 30 = 810/1470
Likewise, for the 2nd fraction, since 30 × 49 = 1470,
75/30 = 75 × 49/30 × 49 = 3675/1470
Add the two like fractions:
810/1470 + 3675/1470 = 810 + 3675/1470 = 4485/1470
4485/1470 simplified gives 299/98
So, 27/49 + 75/30 = 299/98
In mixed form: 35/98

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